2222722252800 has 1728 divisors, whose sum is σ = 9684107677440. Its totient is φ = 489223618560.

The previous prime is 2222722252759. The next prime is 2222722252841. The reversal of 2222722252800 is 82522272222.

2222722252800 is a `hidden beast` number, since 22 + 22 + 72 + 22 + 528 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2222722252759) and next prime (2222722252841).

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22914662352 + ... + 22914662448.

It is an arithmetic number, because the mean of its divisors is an integer number (5604228980).

Almost surely, 2^{2222722252800} is an apocalyptic number.

2222722252800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2222722252800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4842053838720).

2222722252800 is an abundant number, since it is smaller than the sum of its proper divisors (7461385424640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2222722252800 is an frugal number, since it uses more digits than its factorization.

2222722252800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The spelling of 2222722252800 in words is "two trillion, two hundred twenty-two billion, seven hundred twenty-two million, two hundred fifty-two thousand, eight hundred".